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Quantum K-theory of quiver varieties and many-body systems

https://doi.org/10.1007/s00029-021-00698-3

Koroteev, Peter ; Pushkar, Petr P. ; Smirnov, Andrey V. ; Zeitlin, Anton M. ( November 2021 , Selecta Mathematica)

Abstract We define quantum equivariant K-theory of Nakajima quiver varieties. We discuss type A in detail as well as its connections with quantum XXZ spin chains and trigonometric Ruijsenaars-Schneider models. Finally we study a limit which produces a K-theoretic version of results of Givental and Kim, connecting quantum geometry of flag varieties and Toda lattice.
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Equation of state of boron nitride combining computation, modeling, and experiment

https://doi.org/10.1103/PhysRevB.99.165103

Zhang, Shuai ; Lazicki, Amy ; Militzer, Burkhard ; Yang, Lin H. ; Caspersen, Kyle ; Gaffney, Jim A. ; Däne, Markus W. ; Pask, John E. ; Johnson, Walter R. ; Sharma, Abhiraj ; et al ( April 2019 , Physical Review B)